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2026
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| Online Access: | https://doi.org/10.5281/zenodo.19606278 |
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| author | Mahajan, Neha Swami, Narendra Patil, Vasudeo |
| author_facet | Mahajan, Neha Swami, Narendra Patil, Vasudeo |
| contents | <p class="FirstParagraph"><em><span>This research provides a rigorous analytical treatment of a spatially homogeneous Bianchi Type-III universe evolving under the influence of a Hoyle-Narlikar creation field (C-field). By integrating the modified Einstein Field Equations for a zero-pressure matter distribution, we identify a critical geometric constraint </span></em><span> </span><em><span>)</span></em><em><span> that necessitates the proportionality of the transverse scale factors, </span></em><span> </span><em><span>. We explore the late-time behaviour of this anisotropic system by employing a power-law expansion technique to solve the underlying gravitational field equations. Our results quantify the evolution of the expansion scalar, shear tensor, and the deceleration parameter, providing a numerical cross-check for the model's physical viability. The study demonstrates that the continuous matter-creation mechanism of the C-field effectively counteracts the expansionary dilution of energy density, offering a non-singular cosmological alternative that maintains a steady-state matter profile without requiring a cosmological constant.</span></em></p> <p class="MsoBodyText"> </p> |
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| id | zenodo_https___doi_org_10_5281_zenodo_19606278 |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Dynamics and Physical Constraints of Anisotropic Bianchi Type-III Models in Creation-Field Cosmology Mahajan, Neha Swami, Narendra Patil, Vasudeo Keywords: Bianchi Type-III, C-field Theory, Cosmology, Anisotropy, Dust Universe, Matter Creation. <p class="FirstParagraph"><em><span>This research provides a rigorous analytical treatment of a spatially homogeneous Bianchi Type-III universe evolving under the influence of a Hoyle-Narlikar creation field (C-field). By integrating the modified Einstein Field Equations for a zero-pressure matter distribution, we identify a critical geometric constraint </span></em><span> </span><em><span>)</span></em><em><span> that necessitates the proportionality of the transverse scale factors, </span></em><span> </span><em><span>. We explore the late-time behaviour of this anisotropic system by employing a power-law expansion technique to solve the underlying gravitational field equations. Our results quantify the evolution of the expansion scalar, shear tensor, and the deceleration parameter, providing a numerical cross-check for the model's physical viability. The study demonstrates that the continuous matter-creation mechanism of the C-field effectively counteracts the expansionary dilution of energy density, offering a non-singular cosmological alternative that maintains a steady-state matter profile without requiring a cosmological constant.</span></em></p> <p class="MsoBodyText"> </p> |
| title | Dynamics and Physical Constraints of Anisotropic Bianchi Type-III Models in Creation-Field Cosmology |
| topic | Keywords: Bianchi Type-III, C-field Theory, Cosmology, Anisotropy, Dust Universe, Matter Creation. |
| url | https://doi.org/10.5281/zenodo.19606278 |